Plot points with minimal distance

Question

Richard Hojstric 2019-10-1

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https://ww2.mathworks.cn/matlabcentral/answers/483019-plot-points-with-minimal-distance

回答： Shadaab Siddiqie 2020-8-26

Hello friends, please a i need i make 1000x1000 place and plot three points with color on this place. But distance between points must be minimal 400metres.

Thank you :)

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Richard Hojstric 2019-10-1

So, i need to do :

In Matlab, render an area of 1000 x 1000metres. In this area plot 3 points random (i think), with some color. Distance between this poitns should be minimum 400m.

And of the end display its x and y coordinates to each point.

I think it a simple but i have matlab last year :D

Something like on picture but i need it 1000x1000 area and with distance :)

Thanks.

Richard Hojstric 2019-10-1

But this three points can be set permanently not random :) its easier. But how set distance ?

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Answer 1

Shadaab Siddiqie 2020-8-26

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在 MATLAB Online 中打开

From my understanding you want to plot 3 random points, each at a distance of at least 400units form other 2 points, in a plot of 1000x1000 units. You could select first point randomly. Then for second point you can keep selecting a point randomly until the condition satisfies. Similarly, do it for the third point.

% randomly choose point1
point1 = [randi(1000),randi(1000)];
% choose point2 such that distance between point1 and point2 is greater than 400
point2 = [randi(1000),randi(1000)];
while pdist([point1;point2],"euclidean")<=400
point2 = [randi(1000),randi(1000)];
end
% choose point3 such that distance between point3 and point1 is greater than 400 and
% distance between point3 and point2 is greater than 400
point3 = [randi(1000),randi(1000)];
while pdist([point1;point3],"euclidean")<=400 || pdist([point2;point3],"euclidean")<=400 
point3 = [randi(1000),randi(1000)];
end
%plot the points
hold on 
plot([point1(1) point2(1) point3(1)],[point1(2) point2(2) point3(2)],'.b',"Marker","o");
xlim([0 1000])
ylim([0 1000])